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Curated Video
Graphing Logarithms
A video entitled "Graphing Logarithms" which walks through how to graph a logarithmic function using a table of values.
Curated Video
Checking and securing understanding of multiples of 10
Pupil outcome: I can factorise multiples of 10^n in order to simplify multiplication and division of both integers and decimals. Key learning points: - Factorising multiples of 10 can scale the calculation to easier values. - It is...
Curated Video
Advanced problem solving with percentages
Pupil outcome: I can use my knowledge of percentages to solve problems. Key learning points: - A context can be evaluated to determine what sort of percentage calculation is involved. - As percentages can be written as fractions and...
Curated Video
Changing compound interest rates
Pupil outcome: I can carry out compound interest calculations where the percentage changes. Key learning points: - By considering the calculations for compound interest, you can be more efficient. - Through understanding the structure,...
Curated Video
Multiples of 10 involving negative exponents
Pupil outcome: I can write any integer in a range of forms. Key learning points: - A positive exponent tells you how many identical values must be multiplied together. - Dividing by 10^n is the same as multiplying by its reciprocal. - A...
Curated Video
Compound interest calculations with technology
Pupil outcome: I can carry out compound interest calculations with a calculator. Key learning points: - Calculators are very useful here as they can be programmed efficiently. - This saves time and can reduce error. - It is also quick to...
Curated Video
Calculating compound interest rates
Pupil outcome: I can calculate compound interest rates given start and end values. Key learning points: - If the compound interest rate is fixed but unknown, you can calculate it. - To calculate it you need to know the start and end...
Curated Video
Writing small numbers in standard form
Pupil outcome: I can write very small numbers in the form A × 10^n, (where 1 ≤ A < 10) and appreciate the real-life contexts where this format is usefully used. Key learning points: - It is difficult to read very small numbers, due to...
Curated Video
Multiplying numbers in standard form
Pupil outcome: I can appreciate the mathematical structures that underpin multiplication of numbers represented in standard form. Key learning points: - The commutative law allows the product of two numbers represented in standard form...
Curated Video
Problem solving with standard form calculations
Pupil outcome: I can use my knowledge of standard form to solve problems. Key learning points: - It can be useful to have very large or very small numbers written in standard form. - Being able to perform arithmetic operations on numbers...
Curated Video
Problem solving with percentages
Pupil outcome: I can use my knowledge of percentages to solve problems. Key learning points: - A context can be evaluated to determine what sort of percentage calculation is involved. - As percentages can be written as fractions and...
Curated Video
Checking and further securing understanding of the commutative law
Pupil outcome: I can state the commutative law and use it to calculate efficiently. Key learning points: - A number can be expressed as the product of prime factors. - By using the commutative law, you can chose which factors to multiply...
Curated Video
Dividing numbers in standard form
Pupil outcome: I can appreciate the mathematical structures that underpin division of numbers represented in standard form. Key learning points: - Equivalent fractions can be used to calculate the quotient when dividing with two numbers...
Curated Video
Exponential and fractional column headings
Pupil outcome: I can express place value column headings using both exponential and fractional representations. Key learning points: - The column headings for integer values can be expressed in different ways. - The column headings for...
Curated Video
Simplify Expressions with Rational Exponents (6 examples)
In this video, we discuss how to simplify expressions with rational exponents. When your exponent is a fraction, how can you rewrite it with a radical? When you have a radical, how can you rewrite that as an exponent?
Curated Video
Powers of Ten: Exponential and Number Form
In this math video we will consider powers of ten in exponential form and in number form. We will be presented with a table comparing valued in exponential form and number form. We will drag and drop the appropriate values that are...
Brian McLogan
Logarithmic Equation With Extraneous Solution
When you have multiple logarithms you have to be very careful about extraneous solutions. So in this video that is exactly what I am going to do. Solve and find the extraneous solution.
Curated Video
Logarithmic Functions
This video discusses what logarithms are and why we need them. It will look at logarithmic graphs and talk about natural logarithms.
Brian McLogan
Solving a natural logarithmic equation using the quadratic formula
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Using the inverse of an exponential equation to find the logarithm
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
Applying equality property of logarithms to solve by factoring, log4 (x^2 -4)=log4 (-x+2)
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
How to find the solutions when solving a logarithmic equation
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Solving logarithmic equations by factoring
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
How to solve logarithmic equations
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...